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A stochastic primer

  • John R. Klauder
Conference paper
  • 187 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 409)

Keywords

Characteristic Function Stochastic Differential Equation Wiener Process Stochastic Variable Moment Generate Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Pearson, D.B.: Comm. Math. Phys. 60 (1978) 13Google Scholar
  2. [2]
    Klauder, J.R.: in “Progress in Quantum Field Theory,” Eds. Ezawa, H. and Kamefuchi, S. (Elsevier, B.V., 1986), p. 31Google Scholar
  3. [3]
    Lukacs, E.: “Characteristic Functions,” 2nd Ed. (Hafner, New York, 1970)Google Scholar
  4. [4]
    Hegerfeldt, G., Klauder, J.R.: Comm. Math. Phys. 16 (1970) 329Google Scholar
  5. [5]
    Uhlenbeck, G.E., Ornstein, L.S.: Phys. Rev. 36 (1930) 823; Wang, M.C. Uhlenbeck, G.E.: Rev. Mod. Phys. 17(1945) 323Google Scholar
  6. [6]
    Itô, K.: Proc. Imp. Acad. Tokyo 20 (1944) 519; Mem. Am. Math. Soc., No. 4 (1951)Google Scholar
  7. [7]
    Stratonovich, R.L.: “Topics in the Theory of Random Noise,” (Gordon and Breach, New York, 1963)Google Scholar
  8. [8]
    Doob, J.L.: “Stochastic Processes” (John Wiley and Sons, New York, 1953)Google Scholar
  9. [9]
    Klauder, J.R.: in “Colloquia Mathematica Societatis Janos Bolyai 27, Random Fields,” (1979) 617Google Scholar
  10. [10]
    van Kampen, N.: “Stochastic Processes in Physics and Chemistry,” (North-Holland, Amsterdam, 1987)Google Scholar
  11. [11]
    Parisi, G., Wu, Y.-S.: Sci. Sinica 24 (1981) 483Google Scholar
  12. [12]
    Gausterer, H., Klauder, J.R.: Phys. Rev. D33 (1986) 3678; Klauder J.R.: Acta Physica Austriaca, Suppl. XXV, (1983) 251Google Scholar
  13. [13]
    Kac, M.: in “Proceedings Second Berkeley Symposium on Mathematical Statistics and Probability,” (Univ. of California Press, Berkeley, 1951), p. 18Google Scholar
  14. [14]
    Prokhorov, Yu. V.: The-or. Prob. Appl. 1 (1956) 157Google Scholar
  15. [15]
    Benes, V., Shepp, L.A.: Theor. Prob. Appl. 13 (1968) 475Google Scholar
  16. [16]
    Cameron, R.H.: Ann. of Math. 59 (1954) 434Google Scholar
  17. [17]
    Ezawa, H., Klauder, J.R., Shepp, L.A.: Ann. of Physics 88 (1974) 588Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • John R. Klauder
    • 1
  1. 1.Departments of Physics and MathematicsUniversity of FloridaGainesville

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